[" Find the vector equation of the line passing through "(1,2,3)" and perallelto the planes "vec r*(i-j+2k)=5],[" and "vec r*(3vec i+vec j+vec k)=6]

Find the vector equation of the line passing through (1,2,3) and parallel to the planes vec r*(hat i-hat j+2hat k)=5 and vec r*(3hat i+hat j+hat k)=6

Find the vector equation of the line passing through (1,2,3) and parallel to the planes vec r.( hat i- hat j+2 hat k)=5a n d vec r.(3 hat i+ hat j+ hat k)=6.

Find the vector and cartesian equations of the line passing through the point P(1,2,3) and parallel to the planes vec r*(hat i-hat j+2hat k)=5 and vec r*(3hat i+hat j+hat k)=6

Find the vector equation of the plane passing through the intersection of the planes vec r*(2hat i+2hat j-3hat k)=7,vec r*(2hat i+5hat j+3hat k)=9 and through the point (2,1,3)

Find the vector equation of the plane passing through the intersection of the planes vec r*(2hat i+2hat j-3hat k)=7,vec r*(2hat i+5hat j+3hat k)=9 and through the point (2,1,3)

The Cartesian equation of the plane passing through the point (3,-2,-1) and parallel to the vectors vec b=i-2j+4k and vec c=3i+2j-5k

Find the equation of a plane passing through the line of intersection of the planes vec r*(2i-j+k)=5 and vec r*(3i+j-k)=6 and parallel to x axis.